I hate that every so often I think, "maybe now there is a way around having to manually coordinate H/J/S detail references in a Door Schedule," and I come here and search only to find the same result. One of my Users spent a good portion of his weekend dorking around with the DS in a large Project because the Layout containing the Schedule got shifted in the set to a different number. He wasn't ONLY fixing H/J/S references; someone else had also done a bunch of eyedropper / syringe work that had wrecked a bunch of rated door / door numbers, etc.
I even tried setting the H/J/S Detail as Autotext Reference, using that Autotext in a Text box, and copying / pasting it into the Schedule... Of course it pasted in as plain text. Otherwise this whole forum probably would have heard about it.
BIM Manager, Steele Group Architects
AC26 USA on macOS